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3 years ago

What kinds of functions can be integrated using partial fraction decomposition? Choose the correct answer below

Mathematics

1 answer:

zaharov [31]3 years ago

4 0

Answer:

B. Rational functions

Step-by-step explanation:

The partial fraction decomposition is used for functions there are described by fractions, and for which the substitution method is not possible. These are rational functions, in which both the numerator and the denominator are polynomials.

So the correct answer is:

B. Rational functions

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If B is the midpoint of AC, and AC= 8x-20, find BC.

Semmy [17]

Answer:

BC = 4x-10

Step-by-step explanation:

$\because B$ is the midpoint of AC.

$\therefore BC = \frac{1}{2} AC$

$\therefore BC = \frac{1}{2} (8x-20)$

$\therefore BC = \frac{1}{2} \times 2(4x-10)$

$\huge \purple {\boxed {\therefore BC = 4x-10}}$

5 0

2 years ago

A line passes through the point (0,6) and is parallel to the line with the equation y =

Tresset [83]

Answer:

First option is the correct choice.

Step-by-step explanation:

y - 6 = 1/5 x + 0

y = 1/5x + 6

Best Regards!

8 0

2 years ago

Read 2 more answers

A car company is testing a new type of tire. They want to determine the time to 60 mph from a full stop in light rain, light sno

Andrej [43]

Answer:

For this case the factor would be:

Road conditions

Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.

Step-by-step explanation:

Previous concepts

By definition a factor usually known as "the independent variable is an explanatory variable manipulated by the experimenter".

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $p$ groups and on each group from $j=1,\dots,p$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

Solution to the problem

For this case the factor would be:

Road conditions

Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.

Th use 5 experimental units that are selected from the an specific lot. And they want to test is the stopping distance is significantly different.

And for this case we can use a one way ANOVA to test if the means are equal in the 3 groups.

3 0

3 years ago

PLEASE HELP For a particular transformer, the voltage E in the circuits is related to the number of windings W of wire around t

Masja [62]

Answer:

A voltage of 760V will be produced by 19 windings.

Step-by-step explanation:

Given the equation:

E = 40W

Where E is the Voltage in the circuits

and W is the number of windings

Given that E = 760V

To find: W = ?

Solution: Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.

So, Putting the value of E in the given formula and finding W, the number of windings:

$760=40 \times W\\\Rightarrow W = \dfrac{760}{40}\\\Rightarrow W = \dfrac{76}{4}\\\Rightarrow W = 19$

So, number of windings for a voltage E = 760V is 19.

A voltage of 760V will be produced by 19 windings.

5 0

3 years ago

What type of correlation would be expected between distance run and calories burned? Would this relationship be causal?positive

jek_recluse [69]

It would be a positive correlation, casual.

Because as you run you burn more calories, everytime you do it.

7 0

3 years ago

Read 2 more answers